Reference : A partitioned model order reduction approach to rationalise computational expenses in...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/10206
A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics
English
Kerfriden, P. [Cardiff University, School of Engineering, Queen's Buildings, The Parade, Cardiff, CF24 3AA Wales, United Kingdom]
Goury, O. [Cardiff University, School of Engineering, Queen's Buildings, The Parade, Cardiff, CF24 3AA Wales, United Kingdom]
Rabczuk, T. [Institute of Structural Mechanics, Bauhaus-University, Weimar Marienstraße 15, 99423 Weimar, Germany]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
2013
Computer Methods in Applied Mechanics & Engineering
256
169-188
Yes (verified by ORBilu)
International
0045-7825
[en] Domain decomposition ; Model order reduction ; Nonlinear fracture mechanics ; Parametric time-dependent problems ; Proper orthogonal decomposition (POD) ; System approximation ; Domain decompositions ; Proper orthogonal decompositions ; Time-dependent problem ; Domain decomposition methods ; Fracture ; Principal component analysis ; Fracture mechanics
[en] We propose in this paper a reduced order modelling technique based on domain partitioning for parametric problems of fracture. We show that coupling domain decomposition and projection-based model order reduction permits to focus the numerical effort where it is most needed: around the zones where damage propagates. No a priori knowledge of the damage pattern is required, the extraction of the corresponding spatial regions being based solely on algebra. The efficiency of the proposed approach is demonstrated numerically with an example relevant to engineering fracture. © 2012 Elsevier B.V.
Cardiff University School of Engineering, institute of Mechanics and Advanced Materials
ERC Starting Independent Research
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/10206
10.1016/j.cma.2012.12.004
FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery

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presentationGregynog2012.pdfPresentation2.06 MBView/Open
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POD.pdfIdea of the method POD392.56 kBView/Open

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